2,123,715

3 × 5 × 11 × 61 × 211

Starting at 2,123,715, the Collatz iteration reaches 1 after 228 steps. The first transition is 6371146; the starting value is odd with 32 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 11 × 61 × 211

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 3,785,472

Proper Divisor Sum 1,661,757

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #2123707 ← → #2123731

Radix Representation

Decimal	2123715
Binary	1000000110011111000011 (22 bits)
Octal	0o10063703
Hexadecimal	0x2067C3

Divisor Catalog (32)

1 3 5 11 15 33 55 61 165 183 211 305 633 671 915 1,055 2,013 2,321 3,165 3,355 6,963 10,065 11,605 12,871 34,815 38,613 64,355 141,581 193,065 424,743 707,905 2,123,715

Collatz Trajectory (228 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

2,123,715 6,371,146 3,185,573 9,556,720 4,778,360 2,389,180 1,194,590 597,295 1,791,886 895,943 2,687,830 1,343,915 4,031,746 2,015,873 6,047,620 3,023,810 1,511,905 4,535,716 2,267,858 1,133,929 3,401,788 1,700,894 850,447 2,551,342 1,275,671 3,827,014 1,913,507 5,740,522 2,870,261 8,610,784 4,305,392 2,152,696 1,076,348 538,174 269,087 807,262 403,631 1,210,894 605,447 1,816,342 908,171 2,724,514 1,362,257 4,086,772 2,043,386 1,021,693 3,065,080 1,532,540 766,270 383,135 1,149,406 574,703 1,724,110 862,055 2,586,166 1,293,083 3,879,250 1,939,625 5,818,876 2,909,438

← Previous Integer #2,123,714 Browse Full Index Next Integer #2,123,716 →